What is the Least Common Multiple of 81652 and 81658?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 81652 and 81658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81652 and 81658, than apply into the LCM equation.

GCF(81652,81658) = 2
LCM(81652,81658) = ( 81652 × 81658) / 2
LCM(81652,81658) = 6667539016 / 2
LCM(81652,81658) = 3333769508

Least Common Multiple (LCM) of 81652 and 81658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81652 and 81658. First we will calculate the prime factors of 81652 and 81658.

Prime Factorization of 81652

Prime Factorization of 81658

Now multiplying the highest exponent prime factors to calculate the LCM of 81652 and 81658.

LCM(81652,81658) = 2² × 137¹ × 149¹ × 40829¹
LCM(81652,81658) = 3333769508